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Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.E/5 ( download)
Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.5/5 (895 download)
Download or read book Euclid's Elements of Geometry written by Euclid and published by . This book was released on 2008 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: EUCLID'S ELEMENTS OF GEOMETRY, in Greek and English. The Greek text of J.L. Heiberg (1883-1885), edited, and provided with a modern English translation, by Richard Fitzpatrick.[Description from Wikipedia: ] The Elements (Ancient Greek: Στοιχεῖον Stoikheîon) is a mathematical treatise consisting of 13 books (all included in this volume) attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.
Author : Euclid
Publisher : CUP Archive
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (89 download)
Download or read book Euclid in Greek written by Euclid and published by CUP Archive. This book was released on 1920 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald N. Umble
Publisher : CRC Press
ISBN 13 : 1482234718
Total Pages : 239 pages
Book Rating : 4.4/5 (822 download)
Download or read book Transformational Plane Geometry written by Ronald N. Umble and published by CRC Press. This book was released on 2014-12-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the National Council of Teachers of Mathematics Principles and Standards for School Mathematics and the Common Core State Standards Initiative Standards for Mathematical Practice. Future teachers will acquire the skills needed to effectively apply these standards in their classrooms. Following Felix Klein’s Erlangen Program, the book provides students in pure mathematics and students in teacher training programs with a concrete visual alternative to Euclid’s purely axiomatic approach to plane geometry. It enables geometrical visualization in three ways: Key concepts are motivated with exploratory activities using software specifically designed for performing geometrical constructions, such as Geometer’s Sketchpad. Each concept is introduced synthetically (without coordinates) and analytically (with coordinates). Exercises include numerous geometric constructions that use a reflecting instrument, such as a MIRA. After reviewing the essential principles of classical Euclidean geometry, the book covers general transformations of the plane with particular attention to translations, rotations, reflections, stretches, and their compositions. The authors apply these transformations to study congruence, similarity, and symmetry of plane figures and to classify the isometries and similarities of the plane.
Author : John Casey
Publisher :
ISBN 13 : 9781088465103
Total Pages : 212 pages
Book Rating : 4.4/5 (651 download)
Download or read book The First Six Books of the Elements of Euclid written by John Casey and published by . This book was released on 2019-08-05 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of the Elements of Euclid, undertaken at the request of the principalsof some of the leading Colleges and Schools of Ireland, is intended tosupply a want much felt by teachers at the present day-the production of awork which, while giving the unrivalled original in all its integrity, would alsocontain the modern conceptions and developments of the portion of Geometryover which the Elements extend. A cursory examination of the work will showthat the Editor has gone much further in this latter direction than any of hispredecessors, for it will be found to contain, not only more actual matter thanis given in any of theirs with which he is acquainted, but also much of a specialcharacter, which is not given, so far as he is aware, in any former work on thesubject. The great extension of geometrical methods in recent times has madesuch a work a necessity for the student, to enable him not only to read with advantage, but even to understand those mathematical writings of modern timeswhich require an accurate knowledge of Elementary Geometry, and to which itis in reality the best introduction
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 0387226761
Total Pages : 535 pages
Book Rating : 4.3/5 (872 download)
Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
Author : Euclid
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781546376675
Total Pages : 448 pages
Book Rating : 4.3/5 (766 download)
Download or read book The Thirteen Books of Euclid's Elements written by Euclid and published by Createspace Independent Publishing Platform. This book was released on 2017-04-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.
Author : Andreĭ Petrovich Kiselev
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (318 download)
Download or read book Kiselev's Geometry written by Andreĭ Petrovich Kiselev and published by . This book was released on 2008 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.
Author :
Publisher :
ISBN 13 :
Total Pages : 1026 pages
Book Rating : 4.B/5 (1 download)
Download or read book House documents written by and published by . This book was released on 1880 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mary Burnham
Publisher :
ISBN 13 :
Total Pages : 1612 pages
Book Rating : 4.3/5 (91 download)
Download or read book The United States Catalog written by Mary Burnham and published by . This book was released on 1928 with total page 1612 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hilbert
Publisher : Read Books Ltd
ISBN 13 : 1473395941
Total Pages : 139 pages
Book Rating : 4.4/5 (733 download)
Download or read book The Foundations of Geometry written by David Hilbert and published by Read Books Ltd. This book was released on 2015-05-06 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
Author : Horatio Scott Carslaw
Publisher : Legare Street Press
ISBN 13 : 9781016470438
Total Pages : 0 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Elements of Non-Euclidean Plane Geometry and Trigonometry written by Horatio Scott Carslaw and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Nicholas Tillinghast
Publisher :
ISBN 13 : 9781294032601
Total Pages : 102 pages
Book Rating : 4.0/5 (326 download)
Download or read book Elements of Plane Geometry written by Nicholas Tillinghast and published by . This book was released on 2013-10 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 0387255303
Total Pages : 240 pages
Book Rating : 4.3/5 (872 download)
Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 0387487441
Total Pages : 277 pages
Book Rating : 4.3/5 (874 download)
Download or read book The Proof is in the Pudding written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2011-05-13 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores the many transformations that the mathematical proof has undergone from its inception to its versatile, present-day use, considering the advent of high-speed computing machines. Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of discovery to date. Most of the proofs are discussed in detail with figures and equations accompanying them, allowing both the professional mathematician and those less familiar with mathematics to derive the same joy from reading this book.
Author : Eleanor E. Hawkins
Publisher :
ISBN 13 :
Total Pages : 2222 pages
Book Rating : 4.:/5 ( download)
Download or read book The United States Catalog written by Eleanor E. Hawkins and published by . This book was released on 1921 with total page 2222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : New York (State). Legislature. Senate
Publisher :
ISBN 13 :
Total Pages : 880 pages
Book Rating : 4.:/5 (28 download)
Download or read book Documents of the Senate of the State of New York written by New York (State). Legislature. Senate and published by . This book was released on 1915 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt:
